Probability on Graphs: Random Processes on Graphs and Lattices
Probability on Graphs: Random Processes on Graphs and Lattices
- ISBN 13:
9780521147354
- ISBN 10:
0521147352
- Format: Paperback
- Copyright: 08/16/2010
- Publisher: Cambridge University Press
Rent
Sorry, this item is currently unavailable on Knetbooks.com
Click the link below to purchase this eBook from our trusted partner, eCampus.com.
Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
Extend or Purchase Your Rental at Any Time
Need to keep your rental past your due date? At any time before your due date you can extend or purchase your rental through your account.
Summary
This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm-L_wner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.